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Finding the Fourth Proportional to 9,011.85, 13,585.38 and 8,409.75

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Solution

The fourth proportional to 9,011.85, 13,585.38 and 8,409.75 is: 12,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.85 : 13,585.38 = 8,409.75 : x
  2. Step 2: Convert to fraction form
    9,011.85/13,585.38 = 8,409.75/x
  3. Step 3: Cross multiply
    9,011.85x = 13,585.38 × 8,409.75
  4. Step 4: Simplify right side
    9,011.85x = 114,249,649.46
  5. Step 5: Solve for x
    x = 114,249,649.46/9,011.85
  6. Step 6: Final answer
    x = 12,677.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.